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Article: REMARKS ON THE BERNSTEIN INEQUALITY FOR HIGHER ORDER OPERATORS AND RELATED RESULTS
Title | REMARKS ON THE BERNSTEIN INEQUALITY FOR HIGHER ORDER OPERATORS AND RELATED RESULTS |
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Authors | |
Issue Date | 2023 |
Citation | Transactions of the American Mathematical Society, 2023, v. 376, n. 2, p. 945-967 How to Cite? |
Abstract | This note is devoted to several results about frequency localized functions and associated Bernstein inequalities for higher order operators. In particular, we construct some counterexamples for the frequency-localized Bernstein inequalities for higher order Laplacians. We show also that the heat semi-group associated to powers larger than one of the laplacian does not satisfy the strict maximum principle in general. Finally, in a suitable range we provide several positive results. |
Persistent Identifier | http://hdl.handle.net/10722/327457 |
ISSN | 2023 Impact Factor: 1.2 2023 SCImago Journal Rankings: 1.581 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Li, Dong | - |
dc.contributor.author | Sire, Yannick | - |
dc.date.accessioned | 2023-03-31T05:31:28Z | - |
dc.date.available | 2023-03-31T05:31:28Z | - |
dc.date.issued | 2023 | - |
dc.identifier.citation | Transactions of the American Mathematical Society, 2023, v. 376, n. 2, p. 945-967 | - |
dc.identifier.issn | 0002-9947 | - |
dc.identifier.uri | http://hdl.handle.net/10722/327457 | - |
dc.description.abstract | This note is devoted to several results about frequency localized functions and associated Bernstein inequalities for higher order operators. In particular, we construct some counterexamples for the frequency-localized Bernstein inequalities for higher order Laplacians. We show also that the heat semi-group associated to powers larger than one of the laplacian does not satisfy the strict maximum principle in general. Finally, in a suitable range we provide several positive results. | - |
dc.language | eng | - |
dc.relation.ispartof | Transactions of the American Mathematical Society | - |
dc.title | REMARKS ON THE BERNSTEIN INEQUALITY FOR HIGHER ORDER OPERATORS AND RELATED RESULTS | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1090/tran/8708 | - |
dc.identifier.scopus | eid_2-s2.0-85146481304 | - |
dc.identifier.volume | 376 | - |
dc.identifier.issue | 2 | - |
dc.identifier.spage | 945 | - |
dc.identifier.epage | 967 | - |
dc.identifier.eissn | 1088-6850 | - |
dc.identifier.isi | WOS:000882155400001 | - |